Multiplicative excessive measures and duality between equations of Boltzmann and of branching processes

Masao Nagasawa

Séminaire de probabilités de Strasbourg (1975)

  • Volume: 9, page 471-485

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Nagasawa, Masao. "Multiplicative excessive measures and duality between equations of Boltzmann and of branching processes." Séminaire de probabilités de Strasbourg 9 (1975): 471-485. <http://eudml.org/doc/113050>.

@article{Nagasawa1975,
author = {Nagasawa, Masao},
journal = {Séminaire de probabilités de Strasbourg},
language = {eng},
pages = {471-485},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Multiplicative excessive measures and duality between equations of Boltzmann and of branching processes},
url = {http://eudml.org/doc/113050},
volume = {9},
year = {1975},
}

TY - JOUR
AU - Nagasawa, Masao
TI - Multiplicative excessive measures and duality between equations of Boltzmann and of branching processes
JO - Séminaire de probabilités de Strasbourg
PY - 1975
PB - Springer - Lecture Notes in Mathematics
VL - 9
SP - 471
EP - 485
LA - eng
UR - http://eudml.org/doc/113050
ER -

References

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  1. [1] T.E. Harris, The theory of branching processes.(1963) Springer. Zbl0117.13002MR163361
  2. [2] N. Ikeda - M. Nagasawa - S. Watanabe, Branching Markov processes I, II, III, Journal of Mth. Kyoto Univ. Vol.8 (1968) 233-278, 365-410, vol. 9 (1969) 95-160. Zbl0233.60070
  3. [3] H.P. McKean, A class of Markov processes associated with nonlinear parabolic equations, Proc. Nat. Acad. Sci. vol. 56 (1966) 1907-1911. Zbl0149.13501MR221595
  4. [4] -----, Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas, Archive for rational mechanics and analysis. vol. 21 (1966) 343-367. Zbl1302.60049MR214112
  5. [5] -----, An exponential formula for solving Boltzmann's equation for a Maxwellian gas, J. of Combinatorial theory. vol. 2 (1967) 358-382. Zbl0152.46501MR224348
  6. [6] M. Nagasawa - K. Sato, Some theorems on time change and killing of Markov processes, Kodai Math. Sem. Rep. vol. 15 (1963) 195-219. Zbl0123.35202MR164372
  7. [7] M. Nagasawa, Time reversions of Markov processes, Nagoya Math. Journal. vol.24 (1964) 177-204. Zbl0133.10702MR169290
  8. [8] -----, Branching property of Markov processes, Lecture notes in Mathematics, vol 258, Seminaire de Probabilités de Strasbourg VI, Springer1972,177-197. Zbl0231.60073MR378132
  9. [9] -----, Multiplicative excessive measures of branching processes, Proc. Japan Acad. vol. 49 (1973) 497-499. Zbl0289.60047MR341645
  10. [10] Y. Takahashi, Markov semi-groups with simple interaction I, II. Proc. Japan Acad. vol. 47 (1971) Suppl. II, 974-978, 1019-1024. Zbl0276.60075MR324778
  11. [11] H. Tanaka, Propagation of chaos for certain purely discontinuous Markov processes with interactions, J. Fac. Sci. Univ. Tokyo, vol. 17 (1970) 259-272. Zbl0211.48403MR282410
  12. [12] -----, Purely discontinuous Markov processes with non-linear generators and their propagation of chaos, Teor. Ber. prim. vol. 15 (1970) 599-621. Zbl0327.60043MR279911
  13. [13] T. Ueno, A class of Markov processes with interactions I, II, Proc Japan Acad. vol.45 (1969) 641-646, 995-1000. Zbl0317.60042MR268962
  14. [14] -----, A class of Markov processes with non-linear bounded generators, Japanese J. of Math. vol. 38 (1969) 19-38. Zbl0185.45801MR260027

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